Remark 2.65 A slightly different version of Theorem REF  has been found previously in [1]}, [2]}, working over \({{M}\mathrm {fd}}\)  instead of \({{C}\mathrm {art}}\) .
We found that \({{C}\mathrm {art}}\)  has several technical advantages (in particular, we do not need to additionally consider stalk-wise weak equivalences) and provides a sufficiently large category of parameter spaces to describe geometric and topological structures, as Theorem REF  shows (see also [3]} for a treatment of geometric structures).
\(\triangleleft \)

